There is a lot a rhetoric about this, but it may be instructive to read the decision itself. I don't have a lot of faith in the ability of this particular bunch of black robes to come down anywhere near the center on anything, but what they actually said is that deciding what school children should attend based only on their race is a violation of the equal rights clause of the Fourteenth Amendment. What the childrens' families were arguing is that it is better for the child to go to a neighborhood school (Kentucky case) or to their preferred high school (Seattle case) rather than be assigned to another school because the one that they preferred, and to which they would be otherwise assigned, was over quota for a particular racial group.

IMHO, if a city/state is legally given the authority to decide that black kids should go to a particular school because there aren't enough children of color there, or that white kids should attend a school because there are too many black kids there, than they have an equal right to decide that all black or white kids should go to a particular school. George Wallace would have loved it.